So far I have understood that the group of automorphisms of the octonions is a subgroup of $O(7)$. I want to understand how it is a Lie group using the lemma that closed subgroups of Lie groups again are Lie groups. How does one see that this is a closed subgroup of $O(7)$?
2026-03-26 01:16:42.1774487802
Automorphism group of octonions is closed in $O(7)$.
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